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扭曲双层 WSe₂ 中的拓扑与紧致分子轨道

Topology and compact molecular orbitals in twisted bilayer WSe$_2$

Chenyuan Li, Rwik Dutta, Fang Xie, James R. Chelikowsky, Jennifer Cano, Mit H. Naik, Qimiao Si

arXiv 2607.15611首次发表:更新:

AI 中文总结

研究扭曲双层 WSe₂ 中能带拓扑在超导关联物理里的作用,基于第一性原理,通过构建紧致分子轨道确定能带拓扑非平凡,提取相关参数为有效哈密顿量提供基准,为理解莫尔 TMDs 超导性奠定基础。

AI 中文摘要

扭曲双层 WSe₂(tWSe₂)中近期超导观测引发了非传统配对机制的理论提议。核心问题是能带拓扑是否在系统关联物理中起关键作用。本文基于第一性原理描述 tWSe₂ 顶部莫尔价带,用密度泛函理论计算确定相关扭曲角范围的能带拓扑非平凡,顶部价带在 K 谷的陈数为 C=(+1,+1)。为处理强关联物理,通过部分万尼尔化过程并在自旋 C₃z 对称表示指导下直接从 DFT 波函数构建紧致分子轨道,得到局域 f 轨道和互补拓扑 c 轨道,提取跳跃和杂化幅度,为有效哈密顿量提供从头算基准。该工作为理解莫尔 TMDs 中的超导性奠定基础,凸显 tWSe₂ 是探索拓扑超导性的有前景平台。

英文摘要

Recent observations of superconductivity in twisted bilayer WSe$_2$ (tWSe$_2$) have motivated theoretical proposals for unconventional pairing mechanisms. A central question is whether band topology plays an essential role in the system's correlation physics. In this letter, we develop a first-principles-based description of the top moiré valence bands in tWSe$_2$. Using density functional theory (DFT) calculations, we identify the bands in the relevant range of twist angles to be topologically non-trivial, with the top valence bands carrying Chern numbers $C=(+1,+1)$ for the $K$ valley. In order to treat the strong correlation physics, we construct compact molecular orbitals directly from the DFT wave functions through a partial Wannierization procedure and with the guidance of spinful $C_{3z}$ symmetry representations. This yields a localized $f$ orbital together with a complementary topological $c$ orbital, allowing us to extract hopping and hybridization amplitudes from first principles. The resulting parameters provide an ab initio benchmark for the effective Hamiltonian. Our work establishes a foundation for understanding superconductivity in moiré TMDs and highlights tWSe$_2$ as a promising platform for exploring topological superconductivity.

Comments6 + 5 pages; 4 + 5 figures

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